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Finding the Fourth Proportional to 8,181.64, 12,274.14 and 2,633.32

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Solution

The fourth proportional to 8,181.64, 12,274.14 and 2,633.32 is: 3,950.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.64 : 12,274.14 = 2,633.32 : x
  2. Step 2: Convert to fraction form
    8,181.64/12,274.14 = 2,633.32/x
  3. Step 3: Cross multiply
    8,181.64x = 12,274.14 × 2,633.32
  4. Step 4: Simplify right side
    8,181.64x = 32,321,738.34
  5. Step 5: Solve for x
    x = 32,321,738.34/8,181.64
  6. Step 6: Final answer
    x = 3,950.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.